Question

If a polyhedron has 6 vertices and 12 edges. What is the number of faces it has ​

Answer 1

Answer:

F=8. THEREFORE THE NUMBER OF FACES IS 8.

Answer 2

The polyhedron has 8 faces

Given :

A polyhedron has 6 vertices and 12 edges

To find :

The number of faces of the polyhedron

Concept :

Euler’s formula for Polyhedron :

For polyhedron F + V = E + 2

Where F stands for number of faces , V stands for number of vertices , E stands for number of edges

Solution :

Step 1 of 2 :

Write down number of faces , number of vertices , number of edges

E = Number of edges = 12

V = Number of vertices = 6

F = Number of faces = ?

Step 2 of 2 :

Find number of faces

We use Euler’s formula

By Euler’s formula

F + V = E + 2

⇒ F + 6 = 12 + 2

⇒ F + 6 = 14

⇒ F = 14 - 6

⇒ F = 8

The polyhedron has 8 faces

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